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Finding the Fourth Proportional to 4,307.58, 6,463.80 and 1,710.72

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Solution

The fourth proportional to 4,307.58, 6,463.80 and 1,710.72 is: 2,567.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,307.58 : 6,463.80 = 1,710.72 : x
  2. Step 2: Convert to fraction form
    4,307.58/6,463.80 = 1,710.72/x
  3. Step 3: Cross multiply
    4,307.58x = 6,463.80 × 1,710.72
  4. Step 4: Simplify right side
    4,307.58x = 11,057,751.94
  5. Step 5: Solve for x
    x = 11,057,751.94/4,307.58
  6. Step 6: Final answer
    x = 2,567.05

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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.