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Finding the Fourth Proportional to 4,335.76, 6,506.04 and 2,146.32

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Solution

The fourth proportional to 4,335.76, 6,506.04 and 2,146.32 is: 3,220.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,335.76 : 6,506.04 = 2,146.32 : x
  2. Step 2: Convert to fraction form
    4,335.76/6,506.04 = 2,146.32/x
  3. Step 3: Cross multiply
    4,335.76x = 6,506.04 × 2,146.32
  4. Step 4: Simplify right side
    4,335.76x = 13,964,043.77
  5. Step 5: Solve for x
    x = 13,964,043.77/4,335.76
  6. Step 6: Final answer
    x = 3,220.67

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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.