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Finding the Fourth Proportional to 8,590.30, 12,880.18 and 3,657.13

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Solution

The fourth proportional to 8,590.30, 12,880.18 and 3,657.13 is: 5,483.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,590.30 : 12,880.18 = 3,657.13 : x
  2. Step 2: Convert to fraction form
    8,590.30/12,880.18 = 3,657.13/x
  3. Step 3: Cross multiply
    8,590.30x = 12,880.18 × 3,657.13
  4. Step 4: Simplify right side
    8,590.30x = 47,104,492.68
  5. Step 5: Solve for x
    x = 47,104,492.68/8,590.30
  6. Step 6: Final answer
    x = 5,483.45

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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.