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Finding the Fourth Proportional to 3,005.30, 4,509.30 and 1,058.90

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Solution

The fourth proportional to 3,005.30, 4,509.30 and 1,058.90 is: 1,588.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,005.30 : 4,509.30 = 1,058.90 : x
  2. Step 2: Convert to fraction form
    3,005.30/4,509.30 = 1,058.90/x
  3. Step 3: Cross multiply
    3,005.30x = 4,509.30 × 1,058.90
  4. Step 4: Simplify right side
    3,005.30x = 4,774,897.77
  5. Step 5: Solve for x
    x = 4,774,897.77/3,005.30
  6. Step 6: Final answer
    x = 1,588.83

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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.