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Finding the Fourth Proportional to 4,685.76, 6,465.78 and 2,590.20

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Solution

The fourth proportional to 4,685.76, 6,465.78 and 2,590.20 is: 3,574.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,685.76 : 6,465.78 = 2,590.20 : x
  2. Step 2: Convert to fraction form
    4,685.76/6,465.78 = 2,590.20/x
  3. Step 3: Cross multiply
    4,685.76x = 6,465.78 × 2,590.20
  4. Step 4: Simplify right side
    4,685.76x = 16,747,663.36
  5. Step 5: Solve for x
    x = 16,747,663.36/4,685.76
  6. Step 6: Final answer
    x = 3,574.16

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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.