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Finding the Fourth Proportional to 5,386.08, 8,077.68 and 1,490.70

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Solution

The fourth proportional to 5,386.08, 8,077.68 and 1,490.70 is: 2,235.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,386.08 : 8,077.68 = 1,490.70 : x
  2. Step 2: Convert to fraction form
    5,386.08/8,077.68 = 1,490.70/x
  3. Step 3: Cross multiply
    5,386.08x = 8,077.68 × 1,490.70
  4. Step 4: Simplify right side
    5,386.08x = 12,041,397.58
  5. Step 5: Solve for x
    x = 12,041,397.58/5,386.08
  6. Step 6: Final answer
    x = 2,235.65

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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.