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Finding the Fourth Proportional to 5,498.64, 7,587.97 and 2,980.63

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Solution

The fourth proportional to 5,498.64, 7,587.97 and 2,980.63 is: 4,113.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,498.64 : 7,587.97 = 2,980.63 : x
  2. Step 2: Convert to fraction form
    5,498.64/7,587.97 = 2,980.63/x
  3. Step 3: Cross multiply
    5,498.64x = 7,587.97 × 2,980.63
  4. Step 4: Simplify right side
    5,498.64x = 22,616,931.02
  5. Step 5: Solve for x
    x = 22,616,931.02/5,498.64
  6. Step 6: Final answer
    x = 4,113.19

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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.