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Finding the Fourth Proportional to 5,894.13, 8,130.51 and 3,534.90

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Solution

The fourth proportional to 5,894.13, 8,130.51 and 3,534.90 is: 4,876.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,894.13 : 8,130.51 = 3,534.90 : x
  2. Step 2: Convert to fraction form
    5,894.13/8,130.51 = 3,534.90/x
  3. Step 3: Cross multiply
    5,894.13x = 8,130.51 × 3,534.90
  4. Step 4: Simplify right side
    5,894.13x = 28,740,539.80
  5. Step 5: Solve for x
    x = 28,740,539.80/5,894.13
  6. Step 6: Final answer
    x = 4,876.13

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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.