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Finding the Fourth Proportional to 4,347.96, 6,516.74 and 2,005.60

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Solution

The fourth proportional to 4,347.96, 6,516.74 and 2,005.60 is: 3,006.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,347.96 : 6,516.74 = 2,005.60 : x
  2. Step 2: Convert to fraction form
    4,347.96/6,516.74 = 2,005.60/x
  3. Step 3: Cross multiply
    4,347.96x = 6,516.74 × 2,005.60
  4. Step 4: Simplify right side
    4,347.96x = 13,069,973.74
  5. Step 5: Solve for x
    x = 13,069,973.74/4,347.96
  6. Step 6: Final answer
    x = 3,006.00

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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.