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Finding the Fourth Proportional to 3,746.58, 5,620.01 and 1,406.35

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Solution

The fourth proportional to 3,746.58, 5,620.01 and 1,406.35 is: 2,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,746.58 : 5,620.01 = 1,406.35 : x
  2. Step 2: Convert to fraction form
    3,746.58/5,620.01 = 1,406.35/x
  3. Step 3: Cross multiply
    3,746.58x = 5,620.01 × 1,406.35
  4. Step 4: Simplify right side
    3,746.58x = 7,903,701.06
  5. Step 5: Solve for x
    x = 7,903,701.06/3,746.58
  6. Step 6: Final answer
    x = 2,109.58

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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.