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Finding the Fourth Proportional to 4,339.14, 6,507.03 and 1,565.09

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Solution

The fourth proportional to 4,339.14, 6,507.03 and 1,565.09 is: 2,347.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,339.14 : 6,507.03 = 1,565.09 : x
  2. Step 2: Convert to fraction form
    4,339.14/6,507.03 = 1,565.09/x
  3. Step 3: Cross multiply
    4,339.14x = 6,507.03 × 1,565.09
  4. Step 4: Simplify right side
    4,339.14x = 10,184,085.32
  5. Step 5: Solve for x
    x = 10,184,085.32/4,339.14
  6. Step 6: Final answer
    x = 2,347.03

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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.