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Finding the Fourth Proportional to 4,709.01, 7,062.15 and 1,897.84

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Solution

The fourth proportional to 4,709.01, 7,062.15 and 1,897.84 is: 2,846.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.01 : 7,062.15 = 1,897.84 : x
  2. Step 2: Convert to fraction form
    4,709.01/7,062.15 = 1,897.84/x
  3. Step 3: Cross multiply
    4,709.01x = 7,062.15 × 1,897.84
  4. Step 4: Simplify right side
    4,709.01x = 13,402,830.76
  5. Step 5: Solve for x
    x = 13,402,830.76/4,709.01
  6. Step 6: Final answer
    x = 2,846.21

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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.