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Finding the Fourth Proportional to 5,354.51, 8,079.64 and 5,152.01

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Solution

The fourth proportional to 5,354.51, 8,079.64 and 5,152.01 is: 7,774.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,354.51 : 8,079.64 = 5,152.01 : x
  2. Step 2: Convert to fraction form
    5,354.51/8,079.64 = 5,152.01/x
  3. Step 3: Cross multiply
    5,354.51x = 8,079.64 × 5,152.01
  4. Step 4: Simplify right side
    5,354.51x = 41,626,332.80
  5. Step 5: Solve for x
    x = 41,626,332.80/5,354.51
  6. Step 6: Final answer
    x = 7,774.08

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Why These Related Problems?

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