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Finding the Fourth Proportional to 6,038.54, 8,321.90 and 4,710.14

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Solution

The fourth proportional to 6,038.54, 8,321.90 and 4,710.14 is: 6,491.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,038.54 : 8,321.90 = 4,710.14 : x
  2. Step 2: Convert to fraction form
    6,038.54/8,321.90 = 4,710.14/x
  3. Step 3: Cross multiply
    6,038.54x = 8,321.90 × 4,710.14
  4. Step 4: Simplify right side
    6,038.54x = 39,197,314.07
  5. Step 5: Solve for x
    x = 39,197,314.07/6,038.54
  6. Step 6: Final answer
    x = 6,491.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.