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Finding the Fourth Proportional to 4,703.16, 6,490.62 and 3,130.20

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Solution

The fourth proportional to 4,703.16, 6,490.62 and 3,130.20 is: 4,319.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,703.16 : 6,490.62 = 3,130.20 : x
  2. Step 2: Convert to fraction form
    4,703.16/6,490.62 = 3,130.20/x
  3. Step 3: Cross multiply
    4,703.16x = 6,490.62 × 3,130.20
  4. Step 4: Simplify right side
    4,703.16x = 20,316,938.72
  5. Step 5: Solve for x
    x = 20,316,938.72/4,703.16
  6. Step 6: Final answer
    x = 4,319.85

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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.