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Finding the Fourth Proportional to 4,386.64, 6,565.82 and 2,303.72

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Solution

The fourth proportional to 4,386.64, 6,565.82 and 2,303.72 is: 3,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,386.64 : 6,565.82 = 2,303.72 : x
  2. Step 2: Convert to fraction form
    4,386.64/6,565.82 = 2,303.72/x
  3. Step 3: Cross multiply
    4,386.64x = 6,565.82 × 2,303.72
  4. Step 4: Simplify right side
    4,386.64x = 15,125,810.85
  5. Step 5: Solve for x
    x = 15,125,810.85/4,386.64
  6. Step 6: Final answer
    x = 3,448.15

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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.