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Finding the Fourth Proportional to 5,774.81, 8,678.45 and 3,435.24

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Solution

The fourth proportional to 5,774.81, 8,678.45 and 3,435.24 is: 5,162.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774.81 : 8,678.45 = 3,435.24 : x
  2. Step 2: Convert to fraction form
    5,774.81/8,678.45 = 3,435.24/x
  3. Step 3: Cross multiply
    5,774.81x = 8,678.45 × 3,435.24
  4. Step 4: Simplify right side
    5,774.81x = 29,812,599.71
  5. Step 5: Solve for x
    x = 29,812,599.71/5,774.81
  6. Step 6: Final answer
    x = 5,162.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.