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Finding the Fourth Proportional to 5,617.65, 8,415.95 and 4,699.11

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Solution

The fourth proportional to 5,617.65, 8,415.95 and 4,699.11 is: 7,039.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.65 : 8,415.95 = 4,699.11 : x
  2. Step 2: Convert to fraction form
    5,617.65/8,415.95 = 4,699.11/x
  3. Step 3: Cross multiply
    5,617.65x = 8,415.95 × 4,699.11
  4. Step 4: Simplify right side
    5,617.65x = 39,547,451.31
  5. Step 5: Solve for x
    x = 39,547,451.31/5,617.65
  6. Step 6: Final answer
    x = 7,039.86

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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.