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Finding the Fourth Proportional to 5,569.04, 7,683.66 and 3,210.72

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Solution

The fourth proportional to 5,569.04, 7,683.66 and 3,210.72 is: 4,429.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,569.04 : 7,683.66 = 3,210.72 : x
  2. Step 2: Convert to fraction form
    5,569.04/7,683.66 = 3,210.72/x
  3. Step 3: Cross multiply
    5,569.04x = 7,683.66 × 3,210.72
  4. Step 4: Simplify right side
    5,569.04x = 24,670,080.84
  5. Step 5: Solve for x
    x = 24,670,080.84/5,569.04
  6. Step 6: Final answer
    x = 4,429.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.