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Finding the Fourth Proportional to 4,569.60, 6,304.14 and 2,802.22

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Solution

The fourth proportional to 4,569.60, 6,304.14 and 2,802.22 is: 3,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,569.60 : 6,304.14 = 2,802.22 : x
  2. Step 2: Convert to fraction form
    4,569.60/6,304.14 = 2,802.22/x
  3. Step 3: Cross multiply
    4,569.60x = 6,304.14 × 2,802.22
  4. Step 4: Simplify right side
    4,569.60x = 17,665,587.19
  5. Step 5: Solve for x
    x = 17,665,587.19/4,569.60
  6. Step 6: Final answer
    x = 3,865.89

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1.5x scale

Why These Related Problems?

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