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Finding the Fourth Proportional to 4,587.60, 6,878.96 and 1,987.50

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Solution

The fourth proportional to 4,587.60, 6,878.96 and 1,987.50 is: 2,980.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,587.60 : 6,878.96 = 1,987.50 : x
  2. Step 2: Convert to fraction form
    4,587.60/6,878.96 = 1,987.50/x
  3. Step 3: Cross multiply
    4,587.60x = 6,878.96 × 1,987.50
  4. Step 4: Simplify right side
    4,587.60x = 13,671,933
  5. Step 5: Solve for x
    x = 13,671,933/4,587.60
  6. Step 6: Final answer
    x = 2,980.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.