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Finding the Fourth Proportional to 4,897.52, 7,346.27 and 1,777.51

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Solution

The fourth proportional to 4,897.52, 7,346.27 and 1,777.51 is: 2,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,897.52 : 7,346.27 = 1,777.51 : x
  2. Step 2: Convert to fraction form
    4,897.52/7,346.27 = 1,777.51/x
  3. Step 3: Cross multiply
    4,897.52x = 7,346.27 × 1,777.51
  4. Step 4: Simplify right side
    4,897.52x = 13,058,068.39
  5. Step 5: Solve for x
    x = 13,058,068.39/4,897.52
  6. Step 6: Final answer
    x = 2,666.26

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