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Finding the Fourth Proportional to 5,626.24, 8,442.24 and 2,547.84

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Solution

The fourth proportional to 5,626.24, 8,442.24 and 2,547.84 is: 3,823.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.24 : 8,442.24 = 2,547.84 : x
  2. Step 2: Convert to fraction form
    5,626.24/8,442.24 = 2,547.84/x
  3. Step 3: Cross multiply
    5,626.24x = 8,442.24 × 2,547.84
  4. Step 4: Simplify right side
    5,626.24x = 21,509,476.76
  5. Step 5: Solve for x
    x = 21,509,476.76/5,626.24
  6. Step 6: Final answer
    x = 3,823.06

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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.