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Finding the Fourth Proportional to 4,724.70, 7,085.14 and 1,437.18

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Solution

The fourth proportional to 4,724.70, 7,085.14 and 1,437.18 is: 2,155.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,724.70 : 7,085.14 = 1,437.18 : x
  2. Step 2: Convert to fraction form
    4,724.70/7,085.14 = 1,437.18/x
  3. Step 3: Cross multiply
    4,724.70x = 7,085.14 × 1,437.18
  4. Step 4: Simplify right side
    4,724.70x = 10,182,621.51
  5. Step 5: Solve for x
    x = 10,182,621.51/4,724.70
  6. Step 6: Final answer
    x = 2,155.19

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