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Finding the Fourth Proportional to 3,730.66, 5,595.85 and 957.35

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Solution

The fourth proportional to 3,730.66, 5,595.85 and 957.35 is: 1,435.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,730.66 : 5,595.85 = 957.35 : x
  2. Step 2: Convert to fraction form
    3,730.66/5,595.85 = 957.35/x
  3. Step 3: Cross multiply
    3,730.66x = 5,595.85 × 957.35
  4. Step 4: Simplify right side
    3,730.66x = 5,357,187.00
  5. Step 5: Solve for x
    x = 5,357,187.00/3,730.66
  6. Step 6: Final answer
    x = 1,435.99

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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.