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Finding the Fourth Proportional to 4,877.64, 7,315.94 and 1,590.46

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Solution

The fourth proportional to 4,877.64, 7,315.94 and 1,590.46 is: 2,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,877.64 : 7,315.94 = 1,590.46 : x
  2. Step 2: Convert to fraction form
    4,877.64/7,315.94 = 1,590.46/x
  3. Step 3: Cross multiply
    4,877.64x = 7,315.94 × 1,590.46
  4. Step 4: Simplify right side
    4,877.64x = 11,635,709.93
  5. Step 5: Solve for x
    x = 11,635,709.93/4,877.64
  6. Step 6: Final answer
    x = 2,385.52

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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.