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Finding the Fourth Proportional to 3,153.51, 4,707.32 and 2,893.50

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Solution

The fourth proportional to 3,153.51, 4,707.32 and 2,893.50 is: 4,319.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,153.51 : 4,707.32 = 2,893.50 : x
  2. Step 2: Convert to fraction form
    3,153.51/4,707.32 = 2,893.50/x
  3. Step 3: Cross multiply
    3,153.51x = 4,707.32 × 2,893.50
  4. Step 4: Simplify right side
    3,153.51x = 13,620,630.42
  5. Step 5: Solve for x
    x = 13,620,630.42/3,153.51
  6. Step 6: Final answer
    x = 4,319.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.