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Finding the Fourth Proportional to 4,593.49, 6,887.70 and 1,430.07

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Solution

The fourth proportional to 4,593.49, 6,887.70 and 1,430.07 is: 2,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,593.49 : 6,887.70 = 1,430.07 : x
  2. Step 2: Convert to fraction form
    4,593.49/6,887.70 = 1,430.07/x
  3. Step 3: Cross multiply
    4,593.49x = 6,887.70 × 1,430.07
  4. Step 4: Simplify right side
    4,593.49x = 9,849,893.14
  5. Step 5: Solve for x
    x = 9,849,893.14/4,593.49
  6. Step 6: Final answer
    x = 2,144.32

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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.