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Finding the Fourth Proportional to 4,291.61, 6,437.65 and 1,369.69

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Solution

The fourth proportional to 4,291.61, 6,437.65 and 1,369.69 is: 2,054.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,291.61 : 6,437.65 = 1,369.69 : x
  2. Step 2: Convert to fraction form
    4,291.61/6,437.65 = 1,369.69/x
  3. Step 3: Cross multiply
    4,291.61x = 6,437.65 × 1,369.69
  4. Step 4: Simplify right side
    4,291.61x = 8,817,565.31
  5. Step 5: Solve for x
    x = 8,817,565.31/4,291.61
  6. Step 6: Final answer
    x = 2,054.60

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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.