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Finding the Fourth Proportional to 5,303.91, 7,319.66 and 2,946

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Solution

The fourth proportional to 5,303.91, 7,319.66 and 2,946 is: 4,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,303.91 : 7,319.66 = 2,946 : x
  2. Step 2: Convert to fraction form
    5,303.91/7,319.66 = 2,946/x
  3. Step 3: Cross multiply
    5,303.91x = 7,319.66 × 2,946
  4. Step 4: Simplify right side
    5,303.91x = 21,563,703.63
  5. Step 5: Solve for x
    x = 21,563,703.63/5,303.91
  6. Step 6: Final answer
    x = 4,065.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.