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Finding the Fourth Proportional to 5,228.47, 7,880.29 and 4,506.76

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Solution

The fourth proportional to 5,228.47, 7,880.29 and 4,506.76 is: 6,792.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,228.47 : 7,880.29 = 4,506.76 : x
  2. Step 2: Convert to fraction form
    5,228.47/7,880.29 = 4,506.76/x
  3. Step 3: Cross multiply
    5,228.47x = 7,880.29 × 4,506.76
  4. Step 4: Simplify right side
    5,228.47x = 35,514,575.76
  5. Step 5: Solve for x
    x = 35,514,575.76/5,228.47
  6. Step 6: Final answer
    x = 6,792.54

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.